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We introduce a family of exactly-solvable two-dimensional Hamiltonians whosewave functions are given in terms of Laguerre and exceptional Jacobipolynomials. The Hamiltonians contain purely quantum terms which vanish in theclassical limit leaving only a previously known family of superintegrablesystems. Additional, higher-order integrals of motion are constructed fromladder operators for the considered orthogonal polynomials proving the quantumsystem to be superintegrable.

Families of superintegrable Hamiltonians constructed from exceptional polynomials